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Finding the Fourth Proportional to 458,537.70, 687,806.55 and 299,108.10

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Solution

The fourth proportional to 458,537.70, 687,806.55 and 299,108.10 is: 448,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,537.70 : 687,806.55 = 299,108.10 : x
  2. Step 2: Convert to fraction form
    458,537.70/687,806.55 = 299,108.10/x
  3. Step 3: Cross multiply
    458,537.70x = 687,806.55 × 299,108.10
  4. Step 4: Simplify right side
    458,537.70x = 205,728,510,338.06
  5. Step 5: Solve for x
    x = 205,728,510,338.06/458,537.70
  6. Step 6: Final answer
    x = 448,662.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.